Plugin which adds date range & ical availability to the Bricks sort and filter feature?

Hi everyone, I’d like to rebuild my website www.romanticretreats.co.uk using bricks, including the native Bricks sort and filter feature. Does anyone know of a plugin I could use that would add a functionality so that users can also filter properties based on their availability? I will have an ical link for each property so I’m looking for a plugin which will store availability and include this into the Bricks filter. Any thoughts? Thank you!